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Finding the Fourth Proportional to 4,650.78, 6,965.24 and 2,180.28

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Solution

The fourth proportional to 4,650.78, 6,965.24 and 2,180.28 is: 3,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.78 : 6,965.24 = 2,180.28 : x
  2. Step 2: Convert to fraction form
    4,650.78/6,965.24 = 2,180.28/x
  3. Step 3: Cross multiply
    4,650.78x = 6,965.24 × 2,180.28
  4. Step 4: Simplify right side
    4,650.78x = 15,186,162.57
  5. Step 5: Solve for x
    x = 15,186,162.57/4,650.78
  6. Step 6: Final answer
    x = 3,265.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.